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TOWARDS SOME EXACT RESULTS FOR THE (VANISHING) ALGEBRAIC ENTROPY OF (INTEGRABLE) LATTICE EQUATIONS
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BibTeX
@MISC{Roberts_towardssome,
author = {John A. G. Roberts and Dinh T. Tran},
title = {TOWARDS SOME EXACT RESULTS FOR THE (VANISHING) ALGEBRAIC ENTROPY OF (INTEGRABLE) LATTICE EQUATIONS},
year = {}
}
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Abstract
Abstract. We study growth of degrees of lattice equations, some of which are known to be integrable. We present a conjecture that helps us to prove polynomial growth of a certain class of equations including QV. In addition, we also study growth of degree of several non-integrable equations. Exponential growth of degrees of these equations is also proved subject to a conjecture. Our technique is to determine the ambient degree growth of the equations and a conjectured growth of their common factors at each vertex, allowing the true degree growth to be found. 1.
